Answer:
6^8
Step-by-step explanation:
6^4 * 6^4
We know that a^b * a^c = a^(b+c)
6^4 * 6^4 = 6^(4+4) = 6^8
Answer:
Step-by-step explanation:
Given the system of equations:
In order to find the y coordinate of the solution we must first find the solution to this system of equations. We first start by solving one of the given equations and then substitute the answer of that into the second equation and further solve to get the final answers.
Hope this helps.
Answer:
<em>x = 9</em>
<em>y = 36</em>
Step-by-step explanation:
<u>Lines and Angles</u>
Triangle CDE is isosceles. This means the two angles of the base DE are congruent (have the same measure):
7x + 1 = 4x + 28
Subtracting 4x + 1:
3x = 27
Dividing by 3:
x = 9
Substituting in the expression for the angles:
7x + 1 = 7*9 + 1 = 64°
The angles are 64° and 64°. The other internal angle at vertex C is 180°-64°-64°=52°. This angle is congruent with its vertical angle in the triangle ABC. We are given another angle of 43°. Thus the measure of angle A is 180°-52°-43°=85°
This last angle is equal to the expression of y:
-2(3 - y) + 19 = 85
Subtracting 19:
-2(3 - y) = 66
Removing the parentheses:
-6 + 2y = 66
Adding 6:
2y = 72
Dividing by 2:
y = 36
Final answer:
x = 9
y = 36
Answer:
I will try:
Step-by-step explanation:
Note: ∈ means 'belongs to the set of' and <em>R</em> is 'the set of all real numbers'
Inequality:
- Domain is: x ∈ <em>R</em>
- Range is: x ≥ -2
Set:
-Domain is: {x| x ∈ <em>R</em>}
- Range is: {y| y ≥ -2}
Interval:
- Domain is: (-∞,∞)
- Range is: [-2, ∞)
g(x) is stretched by a factor of 4 and translated 2 units down.
Answer:
y = -x + 4
Step-by-step explanation:
y + 2 = -x - 1
y = - x - 1 - 2
y = -x - 3
Point: (-2,6)
Slope -1
y-intercept: 6 - (-1)(-2)
= 6- 2 = 4
